Least Common Multiple of 2582 and 2589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2582 and 2589 the smallest integer that is 6684798 that is divisible by both numbers.

Least Common Multiple (LCM) of 2582 and 2589 is 6684798.

LCM(2582,2589) = 6684798

LCM of 2582 and 2589

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2582 and 2589

LCM of 2582 and 2589 is 6684798

Least common multiple can be found by multiplying the highest exponent prime factors of 2582 and 2589. First we will calculate the prime factors of 2582 and 2589.

Prime Factorization of 2582


2 2582
1291 1291
1

Prime factors of 2582 are 2,1291. Prime factorization of 2582 in exponential form is:

2582 = 21×12911

Prime Factorization of 2589


3 2589
863 863
1

Prime factors of 2589 are 3,863. Prime factorization of 2589 in exponential form is:

2589 = 31×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 2582 and 2589.

LCM(2582,2589) = 21×31×8631×12911
LCM(2582,2589) = 6684798

Factors of 2582

List of positive integer factors of 2582 that divides 2582 without a remainder.

1, 2, 1291, 2582

Factors of 2589

List of positive integer factors of 2589 that divides 2589 without a remainder.

1, 3, 863, 2589

Least Common Multiple of 2582 and 2589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2582 and 2589, than apply into the LCM equation.

GCF(2582,2589) = 1
LCM(2582,2589) = ( 2582 × 2589) / 1
LCM(2582,2589) = 6684798 / 1
LCM(2582,2589) = 6684798

Properties of LCM 2582 and 2589

(i) The LCM of 2589 and 2582 is associative

LCM of 2582 and 2589 = LCM of 2589 and 2582

Related Least Common Multiples of 2582

Related Least Common Multiples of 2589

Frequently Asked Questions on LCM of 2582 and 2589

1. What is the LCM of 2582 and 2589?

Answer: LCM of 2582 and 2589 is 6684798.

2. What are the Factors of 2582?

Answer: Factors of 2582 are 1, 2, 1291, 2582. There are 4 integers that are factors of 2582. The greatest factor of 2582 is 2582.

3. What are the Factors of 2589?

Answer: Factors of 2589 are 1, 3, 863, 2589. There are 4 integers that are factors of 2589. The greatest factor of 2589 is 2589.

4. How to Find the LCM of 2582 and 2589?

Answer:

Least Common Multiple of 2582 and 2589 = 6684798

Step 1: Find the prime factorization of 2582

2582 = 2 x 1291

Step 2: Find the prime factorization of 2589

2589 = 3 x 863

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6684798 = 2 x 3 x 863 x 1291

Step 4: Therefore, the least common multiple of 2582 and 2589 is 6684798.